Question

A school typically sells 500 yearbooks each year for $50. The economics class does a project and discovers that they can sell 100 more yearbooks for every $5 decrease in price. The revenue for yearbook sales is equal to the number of yearbook sold times the price of the yearbook. Let x represent the number of $5 decreases in price. If the expression that represents the revenue is written in the form R(x) = (500 + ax)(50-bx). Find the value of a and b.

Answer 1

a is 100 b is 5

Explanation:

a is 100 because if you substitute 100 for a and 1 for x (decrease of 5 dollars) you get 600 yearbooks sold which is a curate according to the economics class prediction

b is 5 because substituting 5 into b and 1 to x gives you 45 dollars per year book. this is accurate because a 5.dollar decrease in price makes the year books 45 dollars instead of 50